Sets are collection of distinct objects. In mathematics there are different types of sets like Finite set, Infinite set, Universal set, subset, equal set, equivalent set. Example of Finite set {1,2,3,4}. Infinite set:{1,2,3....}.
Set is a well defined collection of objects. By the number of elements in the set, it can be classified into two as 1.Finite set 2. Infinite set. Example for finite set:{1,2,3,4,5...10}.Example for Infinite set:{1,2,3,4,.....}
Finite, no.
all finite set is countable.but,countable can be finite or infinite
A subset of some set X is, by definition, any set whose elements are entirely contained in X. So the answer is yes. As an example, take your infinite set, and select 3 or 10 or any finite number of your favorite elements in this set. The set of your chosen elements is a finite subset of the infinite set.
In mathematics, a finite set is a set that has a finite number of elements. For example, (2,4,6,8,10) is a finite set with five elements. The number of elements of a finite set is a natural number (non-negative integer), and is called the cardinality of the set. A set that is not finite is called infinite. For example, the set of all positive integers is infinite: (1,2,3,4, . . .)
Sets are collection of distinct objects. In mathematics there are different types of sets like Finite set, Infinite set, Universal set, subset, equal set, equivalent set. Example of Finite set {1,2,3,4}. Infinite set:{1,2,3....}.
Set is a well defined collection of objects. By the number of elements in the set, it can be classified into two as 1.Finite set 2. Infinite set. Example for finite set:{1,2,3,4,5...10}.Example for Infinite set:{1,2,3,4,.....}
prove that every subset of a finite set is a finite set?
Finite, no.
all finite set is countable.but,countable can be finite or infinite
A finite set has a finite number of elements, an infinite set has infinitely many.
A subset of some set X is, by definition, any set whose elements are entirely contained in X. So the answer is yes. As an example, take your infinite set, and select 3 or 10 or any finite number of your favorite elements in this set. The set of your chosen elements is a finite subset of the infinite set.
An empty set is considered a finite set because it contains zero (0) elements and zero is a finite number.
An empty set (null set) is considered finite.
It is a set which contains a finite number of elements.
finite